EP4025956A1 - Procédé mis en oeuvre par ordinateur pour adapter un verre de lunettes à une monture de lunettes - Google Patents

Procédé mis en oeuvre par ordinateur pour adapter un verre de lunettes à une monture de lunettes

Info

Publication number
EP4025956A1
EP4025956A1 EP20768284.0A EP20768284A EP4025956A1 EP 4025956 A1 EP4025956 A1 EP 4025956A1 EP 20768284 A EP20768284 A EP 20768284A EP 4025956 A1 EP4025956 A1 EP 4025956A1
Authority
EP
European Patent Office
Prior art keywords
spectacle lens
edge curve
free
spectacle
frame
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
EP20768284.0A
Other languages
German (de)
English (en)
Inventor
Helmut Wietschorke
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Carl Zeiss Vision International GmbH
Original Assignee
Carl Zeiss Vision International GmbH
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Carl Zeiss Vision International GmbH filed Critical Carl Zeiss Vision International GmbH
Publication of EP4025956A1 publication Critical patent/EP4025956A1/fr
Pending legal-status Critical Current

Links

Classifications

    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/024Methods of designing ophthalmic lenses
    • G02C7/027Methods of designing ophthalmic lenses considering wearer's parameters
    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C7/00Optical parts
    • G02C7/02Lenses; Lens systems ; Methods of designing lenses
    • G02C7/06Lenses; Lens systems ; Methods of designing lenses bifocal; multifocal ; progressive
    • G02C7/061Spectacle lenses with progressively varying focal power
    • G02C7/068Special properties achieved by the combination of the front and back surfaces
    • GPHYSICS
    • G02OPTICS
    • G02CSPECTACLES; SUNGLASSES OR GOGGLES INSOFAR AS THEY HAVE THE SAME FEATURES AS SPECTACLES; CONTACT LENSES
    • G02C13/00Assembling; Repairing; Cleaning
    • G02C13/003Measuring during assembly or fitting of spectacles
    • G02C13/005Measuring geometric parameters required to locate ophtalmic lenses in spectacles frames

Definitions

  • the present invention relates to a computer-implemented method for adapting a spectacle lens with a first spectacle lens surface and a second spectacle lens surface to a spectacle frame with a
  • the invention relates to a computer program with instructions for carrying out the method, a non-volatile, computer-readable storage medium with the computer program stored thereon, and a data processing system for adapting a spectacle lens with a first spectacle lens surface and a second spectacle lens surface to a spectacle frame with a frame edge curve.
  • the design of a spectacle lens is not only determined by its target dioptric effect for the spectacle lenses, but also other factors such as the conditions of use of the glasses, the shape of the glasses frame or specifications for the deflection of the
  • the front surface of the spectacle lens or the rear surface of the spectacle lens can also determine the geometry of the spectacle lens.
  • the shape of the spectacle lens frame is not only important for a correct simulation of the position of the manufactured spectacle lenses in front of the eye and an optimization of the center thickness of the spectacle lenses, but together with the spectacle lens front surface also influences the aesthetics of the finished glasses.
  • a rimmed spectacle lens, the edge of which on its front surface corresponds very well with the edge of the spectacle frame selected by the spectacle wearer, is turned into a very aesthetic pair of glasses and enables problem-free grinding of the lens into the selected frame.
  • the edge of the eyeglass frame relevant for inserting a spectacle lens into the eyeglass frame can be represented by a three-dimensional frame edge curve, which usually represents either the edge of the frame on its front side or the course of the framing of the eyeglass frame.
  • This three-dimensional frame edge curve can be represented sufficiently well, for example, by a number of three-dimensional measurement points on this curve.
  • the three-dimensional measuring points can be recorded with a suitable measuring device, for example.
  • EP 1 656581 B1 it is known to take into account the scalloping, that is to say the bending of the shape of the spectacle lens frame, when selecting a suitable spectacle lens front surface in order to achieve an improvement in wearing comfort in addition to improving the optical properties.
  • a method for determining a first spectacle lens surface is known from WO 2014/198894 A1, in which the first spectacle lens surface is determined in such a way that both the difference between its curvature and a predetermined target curvature and the difference between its edge curve and a predetermined frame edge curve are minimized.
  • the second spectacle lens surface can then be determined with the aid of the method described in WO 2007/017766 A2. From EP 2028527 B1, EP 2028531 B1 and
  • EP 2028533 A1 discloses methods in which the curvature of the front surface of the spectacle lens is suitably selected with regard to the frame edge curve.
  • the spectacle lens rear surface can then be optimized with regard to its optical properties and with regard to the geometry of the spectacle frame, as is described in EP 2028533 A1. In this way it can be achieved that the spectacle lens fits better with the frame. However, you generally still get a spectacle lens in which the edge of the spectacle lens
  • the front surface of the lens can still noticeably differentiate from the three-dimensional frame edge curve.
  • Such frames, and thus their frame edge curves, are in more bent in the horizontal direction than in the vertical direction.
  • the edge of the spectacle lens front surface deviates noticeably from the frame edge curve even with a suitable basic curve selection.
  • a method is known from WO 2018/193134 A2 with which a basic curve for a spectacle lens front surface can be determined on the basis of spectacle frame data.
  • the basic curve can be determined by adapting a free-form surface on the front of the spectacle lens to the frame edge curve.
  • the frame edge curve is also generally without additional measures. only lead to a worsening of the dioptric effects.
  • a method for lowering spectacles is known in which the object-side surface of the spectacle lens is optimally adapted to the shape of the frame and the eye-side lens surface is then optimized with a view to achieving predetermined optical properties.
  • the surface on the object side can in particular be a free-form surface. Even with the procedure described in DE 102007020031 A1, it can happen that no satisfactory result is achieved.
  • the object of the present invention is therefore to provide a computer-implemented method for adapting a spectacle lens with a first spectacle lens surface and a second spectacle lens surface to a spectacle frame with a frame edge curve, with which the spectacle lens can be adapted particularly well to the frame edge curve without the dioptric curve To noticeably impair the effect of the spectacle lens for the user.
  • the invention is to provide a computer program, a data processing system and a non-volatile computer-readable storage medium with a computer program for adapting a spectacle lens with a first spectacle lens surface and a second spectacle lens surface to a spectacle frame with a frame edge curve, with which a spectacle lens can be particularly well adapted to the frame edge curve of a Can be adjusted glasses frame without noticeably impairing the dioptric power of the lens for the user.
  • a computer-implemented method for adapting a spectacle lens with a first spectacle lens surface, a second spectacle lens surface and at least one dioptric power to be achieved to a spectacle frame with a specific frame edge curve is provided.
  • a free-form surface formed on a first spectacle lens surface is adapted to the frame edge curve of the spectacle frame.
  • the adaptation of the free-form surface to the frame edge curve is carried out by simultaneously optimizing the free-form surface and the second spectacle lens surface with a view to minimizing the difference between the free-form surface edge curve and the frame edge curve and with regard to achieving the at least one dioptric power to be achieved with the spectacle lens, whereby the free-form surface and the second lens surface mutually influence each other during the optimization.
  • An optimization in which the free-form surface and the second lens surface are optimized at the same time should therefore be understood as an optimization in which the free-form surface and the second lens surface mutually influence each other during the optimization, so that a change in the free-form surface also leads to a change in the second lens surface leads and vice versa, as long as the goals of optimization are not achieved.
  • a Simultaneous optimization means in particular that the optimization of the first spectacle lens surface is only completed when the second spectacle lens surface has also been optimized, and vice versa.
  • a free-form surface in particular a free-form surface on the front surface of the spectacle lens, which in the area of the corresponding spectacle lens surface leads to an edge curve of the spectacle lens that corresponds well with the frame edge curve.
  • the second lens surface which is typically the lens rear surface, is also optimized as part of the optimization, it becomes possible to achieve two optimization goals, namely, on the one hand, minimizing the difference between the free-form surface edge curve and the frame edge curve and, on the other hand, achieving the at least one with the dioptric power to be achieved with the spectacle lens, in particular the achievement of the at least one dioptric power to be achieved with the spectacle lens for different
  • the method according to the invention therefore enables an exact adaptation of the spectacle lens to the frame edge curve without having to accept disruptive compromises in the optical quality of the spectacle lens, ie without the dioptric power of the spectacle lens being noticeably impaired for the user.
  • a restriction of the dioptric power within the scope of the invention is regarded as not noticeably impairing for the user if it is only present in the peripheral area of the spectacle lens compared to a spectacle lens that is not adapted to the frame edge curve and cannot or can hardly be perceived by the user.
  • a free-form surface is first optimally adapted to the frame edge curve and then the second lens surface is optimized with regard to the dioptric power to be achieved, this optimization can only provide an optimal result for the already fixed free-form surface.
  • a significantly better optimization result for the second spectacle lens surface can be achieved with an only slightly different free-form surface, so that overall a considerably better optimization result would be present.
  • the second spectacle lens surface is a spherical spectacle lens surface, an aspherical spectacle lens surface, a toric spectacle lens surface or an atoric spectacle lens surface.
  • the dioptric requirements can be met particularly well, so that the spectacle wearer does not suffer any disruptive losses with regard to the lens even if the spectacle lens is precisely adapted to the edge curve of the frame Experience image quality in the periphery.
  • a spherical, aspherical, toric or atoric second spectacle lens surface offers the advantage that such a surface is easy to manufacture and also has a relatively low centering sensitivity compared to the front surface of the spectacle lens formed as a free-form surface.
  • first spectacle lens surface is the spectacle lens front surface and the second spectacle lens surface is the spectacle lens rear surface
  • proven methods for manufacturing individual spectacle lenses with a front free-form surface can be used.
  • the simultaneous optimization of the free-form surface and the second spectacle lens surface can take place iteratively.
  • the second lens surface is changed first and then the free-form surface is optimized.
  • the free-form surface on the first lens surface can be optimized in relation to the currently present second lens surface in such a way that, on the one hand, the spectacle wearer in the periphery does not experience any disruptive losses with regard to the imaging quality in the periphery, and on the other hand, the free-form surface edge curve is adapted to ever better the frame edge curve takes place.
  • a starting spectacle lens with a first spectacle lens surface having a predetermined curvature can serve as the starting point for the iterative optimization.
  • An output spectacle lens with a first spectacle lens surface which has a predetermined curvature and which, as In particular, the front surface of the spectacle lens can be mentioned, it makes it possible to use a spectacle lens with a common basic curve for the output spectacle lens, so that the output spectacle lens can be determined quickly and easily.
  • the curvature specification can already take place with regard to the frame edge curve, ie take into account the shell of the frame.
  • spectacle frames that are strongly adapted to the shape of the head such as spectacle frames for sports glasses, have a high degree of scalloping. If the scalloping in such glasses is not taken into account when specifying the curvature for the first spectacle lens surface, the optimization can result in a large number of
  • first iteration step first the second lens surface is determined with regard to the at least one dioptric power to be achieved with the lens, and then the freeform surface with regard to reaching the at least one dioptric power to be achieved with the lens Effect through the spectacle lens is optimized, in particular with regard to achieving the at least one dioptric power to be achieved for many
  • the at least one dioptric power to be achieved with the spectacle lens can in particular be predetermined by an optical target design, so that the optimization methods common for optimizing spectacle lenses can be used.
  • the procedure described enables a surface to be selected as the starting surface for the second lens surface for the first iteration step, with which, in conjunction with a first lens surface that corresponds to a basic curve specification, the at least one dioptric power to be achieved with the lens is initially only approximately achieved , for example only in the optical center of the spectacle lens, which makes it easier to determine the second spectacle lens surface in the first iteration step.
  • Reaching at least one with The dioptric power to be achieved on the spectacle lens can then be implemented by suitable adaptation of the first spectacle lens surface, which is to be optimized anyway.
  • the value of a measure for the deviation of the free-form surface edge curve present after the optimization of the free-form surface is determined from the frame edge curve. If the determined value of the measure for the deviation falls below a specified value or the change in the measure falls below a specified value, the method is ended. Otherwise, in a subsequent iteration step, the second spectacle lens surface is suitably changed and then the free-form surface is again optimized with regard to achieving the at least one dioptric power to be achieved with the spectacle lens, the optimization methods common for optimizing spectacle lenses
  • the maximum arrow height difference present in a difference edge curve can be used as a measure, the difference edge curve representing the differences between the arrow heights of the free-form surface edge curve and the frame edge curve at points of the two edge curves that are equivalent to one another.
  • the Euclidean norm of the amounts of the arrow height differences present in the difference edge curve can generally be used as a measure at selected points of the free-form surface edge curve and the frame edge curve. Further measures such as the simple sum of the amounts of the arrow height differences, the arithmetic mean of the amounts of the arrow height differences or the median of the amounts of the arrow height differences are also possible.
  • the arrow height differences can also only refer to selected points on the free-form surface edge curve and the frame edge curve.
  • the measure for the deviation is based on the difference edge curve.
  • the second spectacle lens surface is changed on the basis of
  • Difference edge curve can then be used to change the second spectacle lens surface, so that a specific
  • the spectacle lens surface can in particular take place in that a third spectacle lens surface is adapted to the difference curve and at least a section of the third spectacle lens surface is superimposed on the previously present second spectacle lens surface. It is advantageous if the third spectacle lens surface is taken from the same surface family to which the second spectacle lens surface also belongs. The third lens surface is then a spherical or toric lens surface, if the second
  • the lens surface is a spherical or toric lens surface, and an aspherical or atoric lens surface if the second lens surface is an aspherical or atoric lens surface, etc.
  • a toric third lens surface would be adapted to the differential edge curve and then to the previously existing toric superimposed on the second lens surface.
  • the criteria for adapting the third lens surface to the difference edge curve can be the same criteria as were also proposed for assessing the deviation of the arrow heights of the free-form surface edge curve from the arrow heights of the frame edge curve. With this procedure, the information about the differences between the arrow heights of the free-form surface edge curve and the frame edge curve is therefore in the form of a third that is adapted to the second spectacle lens surface
  • the second spectacle lens surface is changed with the aid of a variation method, ie within the scope of a method in which parameters of the second spectacle lens surface are varied.
  • a variation method ie within the scope of a method in which parameters of the second spectacle lens surface are varied.
  • the parameters “radii” and “axis position” of the toric surface can be varied.
  • Common variation methods can be used for variation.
  • the optimization can also take place without explicit knowledge of the difference boundary curve.
  • iterative optimization there is the option of
  • a computer program for adapting a spectacle lens with a first spectacle lens surface, a second spectacle lens surface and at least one dioptric power to be achieved with the spectacle lens to a spectacle frame with a specific frame edge curve.
  • the computer program includes instructions which, when executed on a computer, cause the computer to open a a first lens surface formed free-form surface to the
  • the computer program includes instructions which, when they are executed on a computer, cause the computer to adapt the free-form surface to the frame edge curve at the same time, the free-form surface and the second lens surface with a view to minimizing the
  • the free-form surface and the second spectacle lens surface mutually influencing one another during the optimization.
  • the computer program according to the invention enables the method according to the invention to be carried out on a computer and thus the implementation of the advantages associated with the method according to the invention with the aid of a computer.
  • the computer program according to the invention can in particular also be developed in such a way that it enables the further developments described with reference to the method according to the invention to be carried out on a computer.
  • a data processing system for adapting a spectacle lens with a first spectacle lens surface, a second spectacle lens surface and at least one dioptric power to be achieved with the spectacle lens to a spectacle frame with a specific frame edge curve.
  • the data processing system comprises a processor and at least one memory, the processor being configured to adapt a free-form surface formed on a first spectacle lens surface to the frame edge curve of the spectacle frame based on instructions from a computer program stored in the memory.
  • the processor is designed, based on the instructions of the computer program stored in the memory for adapting the freeform surface to the frame edge curve, simultaneously the freeform surface and the second lens surface with a view to minimizing the difference between the freeform surface edge curve and of the frame edge curve as well as with regard to achieving the at least one dioptric power to be achieved with the spectacle lens, the free-form surface and the second spectacle lens surface mutually influencing one another during the optimization.
  • the data processing system according to the invention enables the method according to the invention to be carried out and thus the implementation of the advantages associated with the method according to the invention.
  • the data processing system can also be further developed in such a way that it enables the further development of the method according to the invention to be carried out.
  • a non-volatile computer-readable storage medium is provided with instructions stored thereon for fitting a spectacle lens with a first spectacle lens surface, a second spectacle lens surface and at least one dioptric power to be achieved with the spectacle lens to a spectacle frame with a specific frame edge curve.
  • the instructions When the instructions are carried out on a computer, they cause the computer to adapt a free-form surface formed on a first spectacle lens surface to the frame edge curve of the spectacle frame.
  • the storage medium comprises instructions stored thereon which, when executed on a computer, cause the computer to simultaneously adapt the freeform surface to the frame edge curve with the freeform surface and the second spectacle lens surface with a view to minimizing the difference between the freeform surface edge curve and the frame edge curve and to optimize with regard to achieving the at least one dioptric power to be achieved with the spectacle lens, the free-form surface and the second spectacle lens surface mutually influencing one another during the optimization.
  • the computer-readable storage medium according to the invention enables the computer program according to the invention to be loaded into a computer or a data processing system according to the invention and thus to execute the method according to the invention in order to achieve the advantages described with reference to the method according to the invention.
  • the computer-readable storage medium can also contain information stored thereon, which enables the further developments of the method according to the invention to be carried out.
  • FIG. 1 shows a first exemplary embodiment for the method for determining a spectacle lens adapted to the frame edge curve of a spectacle frame.
  • FIG. 2 shows a second exemplary embodiment for the method for determining a spectacle lens adapted to the frame edge curve of a spectacle frame.
  • a spectacle lens surface is a surface provided for looking through the spectacle lens.
  • the spectacle lens rear surface is that spectacle lens surface which, when a spectacle lens is used as intended, points towards the eye or is closest to the eye.
  • the spectacle lens front surface is that spectacle lens surface which, when a spectacle lens is used as intended, faces away from the eye or is located furthest away from the eye.
  • Dioptric power Spectacle lenses have at least one dioptric power, the term “dioptric power” being a collective term for the focusing power and the prismatic power (DIN ISO 13666: 2013-10, Section 10.9).
  • the term "focusing effect” is again a collective term for the spherical effect of the spectacle lens, according to which a paraxial, parallel bundle of rays is focused on one point, and the astigmatic effect of the spectacle lens, according to which a paraxial, parallel bundle of rays is focused on two mutually perpendicular lines is focused.
  • a bundle of rays is to be regarded as a paraxial bundle of rays if it does not exceed a diameter of 0.05 mm, in particular 0.01 mm.
  • scallop describes the deflection of the shape of the spectacle lens frame.
  • the shell can be viewed as the curvature of the spherical surface with the slightest deviation of the three-dimensional frame edge curve from the spherical surface, i.e. as the curvature of the spherical surface that is best adapted to the frame edge curve.
  • the frame edge curve of a spectacle frame is a three-dimensional curve which is dependent on the geometry of the spectacle frame and which determines the shape of a spectacle lens so that it can be held by the spectacle frame.
  • the frame wheel curve can in particular describe the edge of the eyeglass frame on its front side or the course of the frame groove, the frame groove being a groove on the inner edge the spectacle frame, which is designed to receive a facet on the edge of the spectacle lens.
  • the surface power is a measure of the ability of a surface segment surrounding a surface point, the vergence (refractive index of the
  • Spectacle lens material divided by the radius of curvature of the wavefront) of a bundle of rays impinging on the surface section in air (DIN ISO 13666: 2013-10, section 9.4).
  • Free-form surface is understood in the broader sense to be a complex surface that can be represented in particular by means of regionally defined functions, in particular twice continuously differentiable regionally defined functions.
  • suitable regionally defined functions are (in particular piecewise) polynomial functions (in particular polynomial splines, such as bicubic splines, higher-degree splines of the fourth degree or higher, Zernike polynomials, Forbes surfaces, Chebyshev polynomials, polynomial non-uniformly rational B-splines (NURBS)) or Fourier series.
  • a free-form surface in the narrower sense according to Section 2.1.2 of DIN SPEC 58194 from December 2015 is a spectacle lens surface manufactured using free-form technology, which is mathematically described within the limits of differential geometry and is neither point-symmetrical nor axially symmetrical.
  • the free-form surface edge curve is the curve which laterally delimits a free-form surface.
  • Difference edge curve is a curve which, at each point, represents an arrow height difference between the arrow height of the free-form surface edge curve and the arrow height of the frame edge curve relative to a reference plane. It is advantageous here if the projection of the free-form surface edge curve corresponds to the projection of the frame edge curve onto a suitable reference plane, so that the arrow height difference between the two curves can be formed with respect to this reference plane.
  • Condition of Use refers to the position and orientation of the glasses in relation to the eyes and face of the wearer while the glasses are being worn.
  • the conditions of use can be determined, for example, by the angle of inclination (DIN ISO 13666: 2013-10, section 5.18), also known as the pantoscopic angle, the frame angle (DIN ISO 13666: 2013-10, section 17.3) and the corneal vertex distance (DIN ISO 13666 : 2013-10, Section 5.27) and are adapted for each lens to the respective wearer.
  • Typical values for the angle of inclination are between -20 degrees and +30 degrees, typical values for the tufts vertex distance are in the range between 5 mm and 30 mm and typical values for the frame lens angle are in the range from -5 degrees to +30 degrees.
  • the conditions of use usually also include the interpupillary distance in accordance with DIN ISO 13666: 2013-10, Section 5.29, i.e. the distance between the centers of the pupils in the event that the eyes are looking in the direction of the eye fix an infinitely distant object straight ahead, the centering data, i.e.
  • the conditions of use can be individual conditions of use, ie they are adapted to a specific wearer, or general conditions of use, ie they are adapted to a defined group of wearers.
  • the basic curve indicates the nominal surface power (or the nominal curvature) of the finished spectacle lens surface of a semifinished spectacle lens, also called a spectacle lens blank, or of a finished spectacle lens.
  • This finished lens surface is often the lens front surface.
  • Optimizing is the term used to describe the adaptation of parameters of a system in such a way that a given objective function, which is dependent on the parameters, at least approximately reaches a maximum or a minimum. Iterative optimization is a method of optimizing parameters using repetitive steps
  • the arrow height of a point on a lens surface is a measure of the distance between this point and a reference plane running through a reference point on the lens surface. It can be specified, for example, by the distance from the reference plane of a plane running through the point and parallel to the reference plane.
  • Disc plane
  • the lens plane is a plane tangential to the front surface of a demo or support lens incorporated into the spectacle frame in its geometric lens center point (DIN ISO 13666: 2013-10, Section 17.1) spherical surface / aspherical surface
  • a spherical surface is considered to be a surface that is part of an inner surface or an outer surface of a sphere (cf. DIN ISO 13666: 2013-10, Section 7.1).
  • an aspherical surface is a surface of revolution with a surface that extends from the apex to the periphery continuously changing curvature (DIN ISO 13666: 2013-10, section 7.3).
  • the TABO scheme is a scheme that is used, among other things, to clearly specify the axis positions for cylindrical or prismatic corrections.
  • an observer is facing the spectacle wearer. It comprises two circles with markings running counterclockwise from 0 to 360 degrees, the 0 degree direction or the 360 degree direction being located horizontally on the right, so that the 0 degree direction or the 360 degree direction is on the temporal left eye and nasal right eye.
  • a toric surface is a surface that has two mutually perpendicular face sections of different curvature, the cross section in both face sections being nominally circular (DIN ISO 13666: 2013-10, Section 7.5).
  • An atoric surface is a surface that has two mutually perpendicular face sections with different curvatures and in which the cross section in at least one of the face sections is not circular (DIN ISO 13666: 2013-10, Section 7.6). Overlaying surfaces
  • Overlaying surfaces is a method of modifying a first surface with a second surface.
  • the superimposition can take place in a Cartesian coordinate system, for example by adding the z components of the surface coordinates at points of the respective surfaces which have the same x and y coordinates.
  • a variation method is a method for finding an approximate solution for a mathematical problem, such as an optimization problem, in which initial values for parameters are varied until a given variable fulfills a given condition, for example becomes a minimum or a maximum. regulation
  • the term “prescription” describes a compilation in which the dioptric effects necessary for the correction of a diagnosed ametropia are specified in the form of suitable values.
  • the regulation can contain a value “Sph” for Sphere.
  • the regulation can contain values “Cyl” for cylinder and “Ach” for axis and, in the case of a prismatic effect, a value for prism.
  • the prescription can also contain further values, in the case of multifocal lenses, for example the “Add” value, which indicates the difference between the vertex power in the near part of the lens and in the far part of the lens.
  • a target design in the sense of the present invention is the specification of a distribution of image defects over the spectacle lens or of surface properties of the spectacle lens that are to be achieved in an optimization process.
  • An optical target design is therefore the specification of a distribution of image errors over the entire lens or beyond in the beam path of the glasses wearer (e.g. astigmatic residual deviation, spherical residual deviation, prism, horizontal symmetry, distortion, but also higher-order errors such as coma).
  • the optical target design can also contain specifications for the astigmatic and spherical residual deviations at reference points (e.g.
  • a surface target design surface properties of the freeform surface to be formed that are to be achieved in the optimization process are specified, for example a surface refractive power or a surface astigmatism.
  • the surface power is a measure of the ability of one Optimization point surrounding surface section to change the vergence (refractive index of the spectacle lens material divided by the radius of curvature of the wave front) of a bundle of rays impinging on the surface section in air.
  • the surface astigmatism at an optimization point represents the difference in the surface powers in the main sections at an optimization point of the surface.
  • a first exemplary embodiment of the computer-implemented method according to the invention for determining a spectacle lens adapted to the frame edge curve of a spectacle frame is described below with reference to FIG.
  • the method serves to determine a spectacle lens adapted to the frame edge curve, at least on the basis of data from a predefined prescription and a predefined frame shape with a specific frame edge curve.
  • data on usage and thickness conditions and / or specified centering data and / or a specified target design can also be added to the data of the prescription and the version.
  • a mean curvature for a first spectacle lens surface is specified in step S1.
  • this first spectacle lens surface is the spectacle lens front surface.
  • the default curvature is typically given to a reference point on the front surface of the spectacle lens.
  • the specification of the mean curvature of the front surface of the spectacle lens can take place, for example, by specifying a basic curve for the front surface of the spectacle lens.
  • the default curvature for the first spectacle lens surface can in particular be derived from the shell of the frame.
  • the basic curve can in particular be selected in such a way that the mean curvature of the front surface of the spectacle lens is the curvature of the spherical surface that is best adapted to the frame edge curve.
  • the spectacle lens with the specified mean curvature then serves as the starting lens for the following steps.
  • a toric rear surface of the spectacle lens is calculated in step S2 the initial lens in such a way that the prescribed dioptric power is approximately achieved with the lens.
  • dioptric effects can possibly also be achieved with the spectacle lens, for example a dioptric effect for vision in the distance and a dioptric effect for vision near.
  • a dioptric power to be achieved with the spectacle lens is mentioned in the description of the invention, this should therefore also include the cases in which several dioptric powers are to be achieved with the spectacle lens.
  • the conditions of use of the glasses in particular individual conditions of use of the glasses, can be taken into account.
  • step S3 starting from a spectacle lens with a spectacle lens front surface having the curvature specified in step S1 and the toric spectacle lens rear surface calculated in step S2, a free-form surface for the spectacle lens front surface is optimized.
  • the optimization takes place with a view to achieving the dioptric power to be achieved with the spectacle lens and in accordance with an optical target design for the entire spectacle lens, any thickness specifications for the spectacle lens and taking into account the centering data.
  • the conditions of use of the glasses in particular individual conditions of use of the glasses, can again be taken into account.
  • requirements regarding the edge deviation from the frame edge can also be included in this optimization (which, however, generally oppose the dioptric requirements).
  • the method can also be started directly with an arbitrarily predetermined toric rear surface in step S2 without taking into account a specification for the mean curvature of the front surface of the spectacle lens and then continue with step S3.
  • This procedure can, however, lead to an iteration process with more Iteration steps than in a method in which the above-described steps S1 and S2 are carried out.
  • a target design which in the present exemplary embodiment is an optical target design and thus represents a distribution of image defects
  • a target function the value of which depends on the deviation of the distribution of image defects achieved with the spectacle lens from the distribution specified in the target design.
  • the value of the objective function represents a measure of how precisely the distribution specified in the objective design is achieved.
  • the parameter values of the regionally defined functions are varied within the framework of the optimization until the value of the objective function fulfills a termination condition which leads to the termination of the variation in the parameter values.
  • the distribution of image defects achieved with the spectacle lens is determined by means of a ray calculation, which calculates the image defects for the spectacle wearer's beam path or for the beam path in a measuring device at predetermined optimization points on the spectacle lens.
  • the beam calculation for the spectacle wearer's beam path calculates the values for the image error at the individual optimization points for a bundle of rays whose main ray runs through the optimization point and through the center of rotation of the eye, i.e. the point around which the eye rotates when the eye moves.
  • the beam calculation for the beam path in the measuring device calculates the measured values to be measured with the measuring device at the individual optimization points for a beam that runs through the optimization point in accordance with the beam path provided in the measuring device used for the measurement at this optimization point.
  • a difference edge curve is then determined in step S4, which represents the arrow height difference between its arrow height and the arrow height of the frame edge curve at the corresponding points for each point of the free-form surface edge curve or for a number of selected points of the free-form surface edge curve.
  • step S5 the maximum arrow height difference present in the difference edge curve is then determined as a measure of the deviation of the free-form surface edge curve present after the optimization of the free-form surface from the frame edge curve, and it is checked whether the maximum in the
  • Difference edge curve present arrow height difference lies below a predetermined limit value. If this is the case, the method proceeds to step S6, in which the geometry of the spectacle lens with the previously determined spectacle lens rear surface and the spectacle lens front surface provided with the optimized free-form surface plus measurement and manufacturing data is output as a spectacle lens adapted to the frame edge curve.
  • step S5 If it is determined in step S5 that the maximum in the
  • step S7 in which it is checked whether the maximum change in the arrow height differences present in the difference edge curve compared to the arrow height differences present in the previous difference edge curve is below a preset limit value. If this is the case, the method likewise advances to step S6. Otherwise the process advances
  • Step S8 continues, in which a toric surface is fitted to the difference edge curve determined in step S4. The method then proceeds to step S9.
  • step S9 the toric spectacle lens rear surface is changed.
  • the toric lens rear surface is changed by creating a new toric lens rear surface by superimposing the previous toric lens rear surface with the toric surface or surface determined in step S8. a portion of this toric surface is formed.
  • the method then advances to step S3, in which the free-form surface on the spectacle lens front surface is re-optimized, the toric
  • the rear surface of the spectacle lens is now formed by the toric rear surface of the spectacle lens that was changed in step S9.
  • Steps S3, S4, S5, S7, S8 and S9 are repeated until it is determined in step S5 that the maximum arrow height difference contained in the difference edge curve no longer exceeds the predetermined limit value or it is determined in step S7 that the maximum change in the Arrow height differences present in the difference edge curve compared to the previous one
  • the method can also record the number of iterations that have taken place and terminate the method after reaching a predetermined maximum number of iterations without a result. In this case, the method can optionally be carried out again with a different predetermined curvature of the front surface of the spectacle lens.
  • both the free-form surface and the second lens surface are simultaneously optimized with regard to a Minimizing the difference between the free-form surface edge curve and the frame edge curve as well as with regard to achieving the dioptric power to be achieved with the spectacle lens.
  • the second spectacle lens surface is changed, and then the free-form surface is optimized with regard to achieving the dioptric power to be achieved with the spectacle lens.
  • the number of iterations can be one if the second spectacle lens surface determined at the beginning of the method and the one at the beginning.
  • the free-form surface optimized by the process already lead to a sufficiently precise adaptation of the free-form surface edge curve to the frame edge curve, i.e. an adaptation in which the measure for the deviation of the free-form surface edge curve present after the optimization of the free-form surface from the frame edge curve is not exceeded and also the required dioptric power is sufficient is achieved exactly.
  • a limit value curve can also be used in step S5, which defines different limit values for different areas of the free-form surface edge curve.
  • a separate limit value can be defined for each point of the free-form surface edge curve. This makes it possible, in areas of the spectacle lens in which larger deviations from the frame edge curve can be accepted, to reduce the requirements compared to other regions of the spectacle lens.
  • a second exemplary embodiment for the computer-implemented method according to the invention for determining a spectacle lens adapted to the frame edge curve of a spectacle frame is described below with reference to FIG.
  • a curvature for a first spectacle lens surface which is also the spectacle lens front surface in the second exemplary embodiment, is specified in the second exemplary embodiment (step S11) and a second for an output spectacle lens which has the first spectacle lens surface with the specified curvature Spectacle lens surface is determined with regard to the prescribed dioptric power to be achieved with the spectacle lens (step S12).
  • the second spectacle lens surface is the spectacle lens rear surface.
  • step S13 a free-form surface on the front surface of the spectacle lens is then optimized with a view to achieving the dioptric power to be achieved with the spectacle lens.
  • the steps S11, S12 and S13 do not differ from the steps S1, S2 and S3 of the first exemplary embodiment. As in the first example In the exemplary embodiment, it is possible to start directly with an arbitrarily predetermined toric rear surface in step S12 and then to continue with step S13.
  • step S14 of the second exemplary embodiment the Euclidean standard is used for the spectacle lens with the previously determined toric rear surface and the optimized free-form surface as a measure of the deviation of the free-form surface edge curve from the frame edge curve, in which the squares of the arrow height differences ia contained in the difference edge curve are formed and summed up at selected edge points and then the root is taken from the sum.
  • step S15 the method proceeds to step S15, in which it is checked whether the Euclidean norm determined in step S14 is below a predetermined limit value. If this is the case, the method proceeds from step S15 to step S16 and provides the geometry of the spectacle lens with the toric rear surface determined in step S12 and the free-form surface optimized in step S13 plus measurement and measurement areas
  • step S15 If it is determined in step S15 that the value of the Euclidean norm of the difference edge curve is not below the predetermined limit value, the method proceeds to step S17. In this it is checked whether the difference between the calculated value of the Euclidean norm of the
  • step S16 the method likewise proceeds to step S16 and outputs the spectacle lens with the previously calculated toric rear surface and the previously optimized free-form surface as a spectacle lens adapted to the frame edge curve. If it is determined in step S17 that the difference between the calculated value of the Euclidean norm of the difference edge curve and the value of the Euclidean norm of the difference edge curve calculated in the previous iteration step does not fall below the specified limit value, the method proceeds to step S18. In this step, the toric lens back surface is changed with the help of a variation method.
  • the parameters “radii” and “axis position” of the toric rear surface are varied with the aid of a suitable mathematical minimization process in order to determine a new toric rear surface.
  • an objective function is specified which is minimized by varying the parameters.
  • the objective function here is again the value of the Euclidean norm of the differential edge curve, which can be calculated for each spectacle lens rear surface after the respective optimization of the spectacle lens front surface designed as a freeform surface, i.e. this variation is then a higher-level optimization for minimizing the Euclidean norm of the differential edge curve
  • step S13 After a changed toric spectacle lens rear surface has been determined in step S18 with the aid of a variation method, the method proceeds to step S13. Steps S13, S14, S15, S17 and S18 are repeated iteratively until it is determined in step S15 that the Euclidean norm of the difference edge curve falls below the predetermined limit value or it is determined in step S17 that the difference between the calculated value of the Euclidean Norm of the difference edge curve and the value of the Euclidean norm of the difference edge curve calculated in the previous iteration step falls below the limit value specified for this.
  • the second exemplary embodiment there is also the possibility in the second exemplary embodiment of providing a maximum number of iterations, after which the method is unsuccessfully terminated. In this case, too, there is the possibility of the
  • the second exemplary embodiment also uses iterative optimization of the second spectacle lens surface and the free-form surface, in the present case
  • Embodiment thus the free-form surface formed on the front surface of the lens and the toric lens rear surface, a simultaneous optimization of both the free-form surface and the second lens surface with a view to minimizing the difference between the free-form surface edge curve and the frame edge curve and with regard to achieving the dioptric power to be achieved with the spectacle lens.
  • the toric lens rear surface can be changed (step S9 in the first exemplary embodiment and in step S18 in the second exemplary embodiment) under the boundary condition that the mean surface power of the toric lens rear surface remains constant, so that the mean curvature of the spectacle lens front surface is at The reference point of the spectacle lens does not change or only changes within certain limits.
  • boundary conditions for the arrow height differences of the free-form surface edge curve can be specified by the frame edge curve.
  • Such boundary conditions can, however, impair the optical quality for the spectacle wearer when looking through the peripheral areas of the spectacle lens adapted to the frame edge curve and are therefore preferably avoided.
  • the computer-implemented method according to the invention can be used to determine the edge of the spectacle lens, in particular also the course of the facet at the edge of the spectacle lens can be designed in accordance with the measured frame edge curve so that after the spectacle lens has been inserted into the frame, the frame shape corresponds exactly to the shape measured during centering of the frame, so that the measured centering data remain valid. This can prevent the frame from undergoing a deformation with respect to its shape during centering after the spectacle lens has been inserted, that is, when worn without corrective lenses.
  • the course of the edge of the spectacle lens then also coincides with the rim of the frame when the finished spectacles are worn.
  • the method according to the invention can also be carried out with a slightly corrected three-dimensional frame edge curve, the correction taking into account the deformation of the frame when worn.
  • the specific exemplary embodiment for a spectacle frame shows how far the deviation of the free-form surface edge curve from the frame edge curve can be reduced with the method according to the invention.
  • the frame edge curve is given in Cartesian coordinates for angles between 10 and 360 ° in Table 1.
  • Table 2 shows the arrow height difference between the free-form surface edge curve and the frame edge curve of a conventional spectacle lens for the respective angles
  • Table 3 shows the arrow height difference between the free form surface edge curve and the frame edge curve for a lens that has been adapted to the frame edge curve of the glasses frame using the method according to the invention.
  • Table 1 describes the coordinates of the frame edge curve for angles in the TABO scheme in Cartesian coordinates.
  • the x-coordinate and the y-coordinate lie within the pane plane of the mount, the z-direction perpendicular to the pane plane against the direction of light.
  • the angles are given in degrees in the table, the coordinates x, y and z in millimeters.
  • the front surface of the spectacle lens is designed as a free-form surface and accordingly for minimal astigmatic and spherical defects for the spectacle wearer of a given optical target design.
  • the spectacle lens on which the differential edge curve from Table 2 is based is an optimized single vision lens on the right with a
  • the arrow height differences (z difference) which correspond to the difference in the z coordinates in the coordinate system from Table 1, lie between a minimum deviation of 0 at 100 ° and a maximum deviation of almost 1.95 at 10 °. This means that the edge of the front surface of the spectacle lens protrudes up to approx. 1.9 mm beyond the edge of the frame.
  • the Euclidean norm of the difference edge curve given in Table 2 has the value 6.67.
  • Table 3 shows the arrow heights of the differential edge curve of a spectacle lens adapted to the spectacle frame with the aid of the method according to the invention.
  • the spherical spectacle lens rear surface is replaced by a toric spectacle lens rear surface.
  • a toric spectacle lens rear surface was determined, the axis position of which has the value 90.9 ° (TABO) and the radius of which is within the first main section corresponding to the axis position 135.772 mm and in a second main section 91.09 perpendicular to this first main section mm.
  • the free-form surface on the front surface of the spectacle lens was optimized as part of the iteration described after each change to the toric rear surface of the spectacle lens.
  • the maximum arrow height (z difference) of the difference edge curve has a value of just under 0.08 at 160 °.
  • the edge of the spectacle lens does not protrude at any point on the frame by more than 0.08 mm above the frame edge.
  • the Euclidean norm of the difference edge curve from Table 3 has the value 0.22. This is thus more an order of magnitude smaller than the value of the Euclidean norm of the differential edge curve from Table 2.
  • the edge profile of the spectacle lens can therefore hardly be distinguished from the edge profile of the frame.
  • optical quality of the spectacle lens from Table 3 optimized according to the method according to the invention does not differ significantly from the optical quality of the one on which Table 2 is based
  • the method according to the invention can be carried out on a computer with the aid of a corresponding computer program.
  • a computer program comprises instructions which, when executed on a computer, cause the computer to carry out the method according to the invention. It can be stored on a non-transitory computer-readable storage medium such as a floppy disk, a CD, a DVD, a USB stick, etc., or it can be retrieved from a network such as the Internet or a Local Area Network (LAN).
  • a non-transitory computer-readable storage medium such as a floppy disk, a CD, a DVD, a USB stick, etc.
  • a network such as the Internet or a Local Area Network (LAN).
  • LAN Local Area Network
  • the method according to the invention can also be implemented on a data processing system specially designed for this purpose.
  • a correspondingly designed computer program can also be used for this purpose.
  • the present invention has been made based on exemplary
  • the free-form surface can be formed on the rear surface of the lens and the toric surface on the front surface of the lens. It is also possible to use an atoric surface, a spherical surface or an aspherical surface instead of a toric surface.
  • the present invention is therefore not intended to be restricted by the exemplary embodiments, but rather only by the appended claims.

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  • Physics & Mathematics (AREA)
  • Health & Medical Sciences (AREA)
  • Ophthalmology & Optometry (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • General Health & Medical Sciences (AREA)
  • Geometry (AREA)
  • Eyeglasses (AREA)

Abstract

L'invention concerne un procédé mis en œuvre par ordinateur pour ajuster une lentille de lunettes ayant une première surface de verre de lunettes, une seconde surface de verre de lunettes et au moins une puissance dioptrique à obtenir, sur une monture de lunettes ayant une certaine courbe de bord de monture est rendue disponible. Dans le procédé, une surface de forme libre formée sur une première surface de verre de lunettes est ajustée sur la courbe de bord de monture de la monture de lunettes. La surface de forme libre est ajustée sur la courbe de bord de monture grâce à la surface de forme libre et la seconde surface de verre de lunettes étant optimisée en vue de minimiser la différence entre la courbe de bord de surface de forme libre et la courbe de bord de monture et en vue d'obtenir la ou les puissances dioptriques à obtenir avec le verre de lunettes.
EP20768284.0A 2019-09-03 2020-08-28 Procédé mis en oeuvre par ordinateur pour adapter un verre de lunettes à une monture de lunettes Pending EP4025956A1 (fr)

Applications Claiming Priority (2)

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EP19195132.6A EP3789815A1 (fr) 2019-09-03 2019-09-03 Procédé mis en uvre par ordinateur permettant d ajuster un verre de lunettes à une monture de lunettes
PCT/EP2020/074158 WO2021043696A1 (fr) 2019-09-03 2020-08-28 Procédé mis en œuvre par ordinateur pour adapter un verre de lunettes à une monture de lunettes

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EP20768284.0A Pending EP4025956A1 (fr) 2019-09-03 2020-08-28 Procédé mis en oeuvre par ordinateur pour adapter un verre de lunettes à une monture de lunettes

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US4524419A (en) * 1982-09-13 1985-06-18 Intelab Medical Systems, Inc. System for determining the optimal ground depth of an ophthalmic lens having a closed homeomorphic boundary
DE3739974A1 (de) 1987-11-25 1989-06-08 Rodenstock Optik G Progressives brillenglas
EP1147852B1 (fr) 1992-06-24 2005-11-16 Hoya Corporation Production de verres de lunettes
US5450335A (en) 1992-08-05 1995-09-12 Hoya Corporation Method of processing spectacle frame shape data
DE69713992T2 (de) * 1996-11-22 2003-04-30 Topcon Corp Vorrichtung zum Messen des Umfangs einer linsenförmigen Schablone gefertigt zur Montage in den Rahmen eines Brillengestells
NL1022293C2 (nl) * 2002-12-31 2004-07-15 Tno Inrichting en werkwijze voor het vervaardigen of bewerken van optische elementen en/of optische vormelementen, alsmede dergelijke elementen.
DE10338033A1 (de) 2003-08-19 2005-03-31 Rodenstock Gmbh Individuelles Einstärkenbrillenglas
EP1752815A1 (fr) 2005-08-11 2007-02-14 Essilor International (Compagnie Generale D'optique) Méthode de fabrication d'un système optique
EP2115527B1 (fr) 2007-01-25 2014-04-16 Rodenstock GmbH Procédé d'optimisation d'un verre de lunettes
DE102007020031A1 (de) * 2007-04-27 2008-10-30 Rodenstock Gmbh Brille, Verfahren zur Herstellung einer Brille und Computerprogrammprodukt
EP2028533B1 (fr) 2007-12-28 2020-09-23 Essilor International Procédé de calcul d'un système optique selon un cadre de lunettes donné
EP2028531B1 (fr) 2007-12-28 2016-05-04 Essilor International (Compagnie Generale D'optique) Procédé de sélection d'une lentille ophtalmique semi-finie selon un cadre de lunettes donné
ES2401456T3 (es) 2007-12-28 2013-04-19 Essilor International (Compagnie Generale D'optique) Método para seleccionar curvas de base para una lente oftálmica y método de fabricación de lentes de gafas relacionadas
CN102947747B (zh) * 2010-04-20 2014-07-09 卡尔蔡司视觉国际有限责任公司 针对眼睛和透镜的波前像差优化眼镜透镜的方法
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US20220171213A1 (en) 2022-06-02
WO2021043696A1 (fr) 2021-03-11
CN114270247A (zh) 2022-04-01
EP3789815A1 (fr) 2021-03-10
CN114270247B (zh) 2024-05-14
US11693258B2 (en) 2023-07-04

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